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2525328 = 2432131971
BaseRepresentation
bin1001101000100010010000
311202022002200
421220202100
51121302303
6130043200
730315321
oct11504220
94668080
102525328
111475353
12a19500
136a55a0
1449a448
1534d3a3
hex268890

2525328 has 120 divisors (see below), whose sum is σ = 8124480. Its totient is φ = 725760.

The previous prime is 2525323. The next prime is 2525329. The reversal of 2525328 is 8235252.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2525323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35533 + ... + 35603.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

22525328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062240).

2525328 is an abundant number, since it is smaller than the sum of its proper divisors (5599152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2525328 is a wasteful number, since it uses less digits than its factorization.

2525328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 108 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 2525328 is about 1589.1280628068. The cubic root of 2525328 is about 136.1776801063.

It can be divided in two parts, 25253 and 28, that added together give a square (25281 = 1592).

The spelling of 2525328 in words is "two million, five hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 36 38 39 48 52 57 71 72 76 78 104 114 117 142 144 152 156 171 208 213 228 234 247 284 304 312 342 426 456 468 494 568 624 639 684 741 852 912 923 936 988 1136 1278 1349 1368 1482 1704 1846 1872 1976 2223 2556 2698 2736 2769 2964 3408 3692 3952 4047 4446 5112 5396 5538 5928 7384 8094 8307 8892 10224 10792 11076 11856 12141 14768 16188 16614 17537 17784 21584 22152 24282 32376 33228 35074 35568 44304 48564 52611 64752 66456 70148 97128 105222 132912 140296 157833 194256 210444 280592 315666 420888 631332 841776 1262664 2525328